Did this problem late at night. I liked it. I hope you guys enjoy it too!
Пікірлер: 195
@EAOO2 ай бұрын
3:37 i think you meant to say you rounded not truncated :)
@AndyMath2 ай бұрын
Oh no! You are right! I messed that up...
@bebektoxic21362 ай бұрын
I see, that's why I'm a bit confused 😂
@EAOO2 ай бұрын
@AndyMath all good, love the videos!
@insaneclips1184Ай бұрын
Truncated means rounded off. Both are same dear
@EAOOАй бұрын
@@insaneclips1184 no, truncated means you cut off additional digits (usually decimal). So 76.73 would truncate to 76 but round to 77.
@T100Tyrant-xh7phАй бұрын
My mind after 0.00000001 seconds of looking at this equation : Log Log Log Log
@Aman_Gupta0Ай бұрын
fr same
@abatallАй бұрын
idek what log is i'm doing alg 1 rn
@yotzexotadrogueАй бұрын
Fr
@progisloveprogislife4501Ай бұрын
It's the opposite of exponenciation, your x in a logarithm is the exponent you need to give to the base (10 in this case) so that the result is equal to 80 (which is called the argument I think). Not that hard to grasp as a concept
@chaabomedАй бұрын
Exactly! Log from line 1
@iTube4U2 ай бұрын
everyone is gangsta untill log shows up
@faizaanfazalАй бұрын
True af
@user-tz3mj6ye3tАй бұрын
Perfect comment😂😂
@hasandhrolia8353Ай бұрын
Kids!!
@hellboysp726326 күн бұрын
bro lowkey
@russellthescout963913 күн бұрын
log is taught in 9th grade though. it's just BAP.
@kartikmaher5Ай бұрын
India's secondary school students be like,"like, seriously‽."
@tanishthakur7Ай бұрын
Really!!
@unknownfbkАй бұрын
Yep, its kinda easy
@D_402SАй бұрын
Mein timepass karne KZbin mein aaya aur yaha aake yeh problem solve karne baith gya 😂
@evilgaming7860Ай бұрын
Even though it is easy for us it may not be the case for whole India. So we should not be full of ourselves.
@shashankyadav5703Ай бұрын
So true
@canonogic2 ай бұрын
Idk why, but this felt like pulling off a combo KO in YuGiOh
@Redawesomeoby2 ай бұрын
Bro why ain't I ever thought bout learning math as learning combos in fighting games dawg
@canonogic2 ай бұрын
@@Redawesomeoby Hadouken to find x 😂😂😂
@olivier.st-amand2 ай бұрын
A video about a list of the usual "tricks" that can be used in such math problems (like the 30-60-90 triangle, the exponent substitutions you used here, etc...) would be amazing! Thanks!
@TheBiggerNoise2 ай бұрын
I’m having flashbacks to helping my daughter with Algebra 2 😮 I love how you manage to keep the presentation so brisk, yet also don’t have any mystery steps.
@abeonthehill166Ай бұрын
An excellent demonstration ! That was clear and easy to follow. Thanks for sharing !
@mr.turtle3752 ай бұрын
Wonderful explanation.This man can teach us faster than a professional professor.
@frommarkham4242 ай бұрын
I think he is a professional
@euloge9962 ай бұрын
He is a teacher
@FylinB5632 ай бұрын
A professor is inherently a professional
@shivambharadwaj95802 ай бұрын
Definitely a middle school teacher @@euloge996
@gorejunkie4200_17 күн бұрын
This is the first time I watch your videos and honestly they're actually helping me understand math even better, I don't know, I try to resolve the problem a little faster than you just to see if I can do it, sometimes I get it wrong but it's fine, I keep trying, thank you! you're helping someone get better at math!
@ethastum19 күн бұрын
You could also solve this problem using logarithmic properties: 1. We take the log() of both sides, which allows us to put the exponent as a factor to the logarithm of the base. Giving us: "(x-1)log(40)=(2x+1)log(2)" 2. We multiply into the parenthesis on both sides, and isolate the terms with x in them. Giving us: "x log(40)-2x log(2)=log(2)+log(40)" 3. We isolate x by factoring, and dividing the resulting parenthesis to the right. Giving us: "x = (log(2)+log(40)) / (log(40)-2log(2)) 4. Due to the rule of logarithms used in (1), we can express the "2log(2)" as "log(2^2)" which equals "log(4)", whereafter we use the rule of sums and differences of logarithms. Giving us: "x=log(80)/log(10)" 5. Due to log-base10 of 10 being 1, this gives us the result as: "x=log(80)"
@kae4881Ай бұрын
i did it by applying log to both sides, and then solving. it makes it easier because after that its just manipulation. but you do need the value for log 2 and log 40.
@vaibhavgupta8681Ай бұрын
Need to know just log 2. log 40 would be log 4 + log 10 . Everyone knows log 10 value and log 4 would be 2 × log 2.
@craigk.gowens75342 ай бұрын
My math teacher in high school wouldn't have allowed log 80 as an answer because it can be reduced like square root of 80 can be reduced. Because it is base 10, log 80 = log 10 + log 8 since log ab = log a + log b if the base is the same. Log 10 = 1, so log 80 = 1+ log 8.
@adwaitpandey25262 ай бұрын
1+3log2 which is approx 1.9
@gregstunts3472 ай бұрын
Depends, sometimes it’s the opposite. With a class that I was in, they would want me to write 1 + log 8 as log 80. But log 8 on its own would need to be simplified to 3log 2.
@HurricaneZАй бұрын
I tried solving it before the video, ended up with the same answer. I just did the log base 2 of 40 first to get the exponent bases to 2. got something around 5.32. set the exponents = to each other due to same bases and boom basic algebra to get to the same decimal answer. (with calculator ofc) nice video tho man 👍
@Jack_Attack12342 ай бұрын
Before even watching the video I know I'm gonna hear "Lets put a box around it" and "How exciting". Almost forgot the “Nice” every time 69 or 420 shows up. And you can’t forget the “this looks like a fun problem” when the video starts.
@ianyoon73362 ай бұрын
how exciting
@frankstrawnation2 ай бұрын
This looks like a fun comment.
@outerspacedog2 ай бұрын
it’s pure hype
@mzoxololinda84082 ай бұрын
And it looks important, so let's put a box around it 😅
@englishsong83992 ай бұрын
Or one can just use log
@metaphoricalhumanАй бұрын
Great video, it randomly appeared in my recommendations and i'm having a test on this exact stuff this week
@RobG17292 ай бұрын
It'd be cool for you to make videos about our ten fingers and base 10 number system versus others like base 12. I'm sure those too would be exciting.
@Dinglebeardedlady2 ай бұрын
I usually have the answer in my head before he finishes the countdown. ...then I watch the video to see HIS process and what the right answer is.
@krewmermore33242 ай бұрын
What a smart and simple way to solve it by rules of indices 😻
@4.0.42 ай бұрын
I should start writing down these equivalences.
@kharshithaashree7447Ай бұрын
Easy method here Just take log on both sides and multiply it in side then you should have an equation with both sides having x of power one and substitute values of log40 ( log4 +log10) and log 2 Then u get 1.602x-1.602=0.601x+0.301 On bringing x oneside and constant on other side u get 1.001x=1.903 Which is approx answer x=1.903 If you need more precise then increase the decimal numbers That's it not even a 2min task
@aadityasrivastava16Ай бұрын
That's what i was thinking it took me about 1 min to solve this mentally i was like he must have asked a numerical value i solved log 8 ans 3log2 = 3X.30 and i got 1.90
@jonathantheyorkieАй бұрын
I'm used to the ones that share a common base
@Epyxoid27 күн бұрын
2:31 I think explaining that with the inverse function is more logical. Just like in _tan x = 2_ we take the inverse function of _tan_ on both sides, which is _tan^-1_ that gives us _tan^-1 (tan x) = tan^-1 (2)_ which simplifies to _x = tan^-1 (2)_ Here, the inverse function of _10^x_ is _log 10 (x)_ Taking that on both sides gives us _log 10 (10^x) = log 10 (80)_ which simplifies to _x = log 10 (80)_
@gamingplus86252 ай бұрын
@andymath what kind of training do you do for your deep voice?
@SaidVSMath2 ай бұрын
Hey Andy, unsure if you check the comments, but what software do you use to animate your videos? Thanks!
@frankstrawnation2 ай бұрын
He said that a very few videos ago.
@abeonthehill166Ай бұрын
Fascinating ….!
@Reaper-jr7szАй бұрын
I did this problem a whole different way and still got 1.903 as a answer
@dungtrantien1669Ай бұрын
How exciting🗣🗣🔥🔥🔥
@Mecha_MathАй бұрын
Very amazing 🎉🎉🎉🎉
@henrygoogle49492 ай бұрын
x to the a to the b. Whole thing squared.
@papawoolliest4232Ай бұрын
“Log 10 means the same thing as log, and the reason for that is we have 10 fingers” Wh… what?
@joeyd9351Ай бұрын
Everything is base 10 unless otherwise stated. I'm not sure if our amt of fingers is the reason for that, but maybe it is
@allayhok2 ай бұрын
Nice
@jozeppelachetti7137Ай бұрын
I checked this equation with gpt, the first answer for x=4. Then I asked to recheck and it was able to find the same answer but using log2
@TrollSilver.Ай бұрын
You can also be silly and just find 2 to the power of what is 40 (comes out to 5.2319) and then finding x
@hilariousroom3181Ай бұрын
Couldnt u do on comparing powers?
@user-xx9ii1is7rАй бұрын
much exiting
@aviationkidd538028 күн бұрын
if u try to compare the exponential powers it gives us the result as 2 which probably is a good approximation pls correct me if i'm wrong thanks :)
@Sg190th2 ай бұрын
yeah, log can work. I just prefer natural log because it looks easier to format in my opinion.
@rathersane2 ай бұрын
But when the base is already 10…
@Grizzly01-vr4pn2 ай бұрын
How (and more importantly why) would you crowbar ln into this?
@Sg190th2 ай бұрын
@@rathersane You can use logarithm regardless but yes, it's usually 10 as base. In this case, it works better. I'm just saying what I prefer in my opinion. Is that bad?
@Sg190th2 ай бұрын
@@Grizzly01-vr4pn Crowbar? Huh???
@rathersane2 ай бұрын
@@Sg190th No… It just seems like more work in this particular case.
@jackmoore2636Ай бұрын
I got ln(80)/ln(10) but it came out as the exact same thing, beauty of maths, different kinda methods but same answer if you do it right.
@konstevsАй бұрын
How exciting.
@llll-lk2mm2 ай бұрын
im so happy that i could figure this one out in the thumbnail itself heh yay
@irvindalacourt71782 ай бұрын
amazing thank you
@diazlard2 ай бұрын
This could be much simpiler. Use a logarithm to find what exponent makes 2 = 40. Expand that through x-1. Use algebra to find x.
@shakhawatparvez8705Ай бұрын
As an Asian parent I would say this should be easy for my 2 year old one
@Redditstoriesbyme2 ай бұрын
You could have done a 2nd level unknown equation to get it without a calculator
@kmktruthserum9328Ай бұрын
I knew that because I brute forced and put 1 as x and 2 as x and then just did 1.5 and kept raising it to 1.9.... They need to make it a bigger x so that I can't just input numbers quicker than it takes to actually use the correct formulas😅
@ylogicmachine6812Ай бұрын
Thank you, it is actually really funny !!!!!!!!!!!!
@CharashGanjaАй бұрын
Lol i sloved it in my head 😅😅
@user-lynKxАй бұрын
wolfram here we come
@user-mi1rh7jy3n2 ай бұрын
Thank you bro
@sietsevanderhorst81442 ай бұрын
''its because we have 10 fingers''
@mashhudaparveen6475Ай бұрын
It took a minute for me to slove. Aaah.....
@nabil43892 ай бұрын
Andy!!
@Eclectic-empireАй бұрын
Indeed that is how is supposed to be done, 👍
@suhaibalkhaldiАй бұрын
i used the natural log from the first step
@rocky10101615 күн бұрын
would it be incorrect to just take the root of x-1 to both sides, which means the 40↑x-1 becomes 40, and the 2↑2x-1 becomes 2↑x and solve from there?
@adaaaa66422 ай бұрын
I solved it in seconds just multiplying entire equation with log10 and got answer without calculator. Anyone with log knowledge can do it.
@KanhaWesАй бұрын
as a ninth grader, anything after 2:31 is witchcraft
@aram56422 ай бұрын
I thought it was because we have 10 toes
@Emilia333gАй бұрын
Doing this myself before watching the video was weird, it didn't feel right to get such a nice result.
@aaditnag79602 ай бұрын
beautiful maths andy. truly beautiful 🥹🥹
@MarcoPolo-bn9qr29 күн бұрын
Yay!!! I do it before of seeing the video and I got it right🎉🎉🎉
@ArnaldoMandel2 ай бұрын
Quite silly, could have applied log base 2 at the outset and just solved thelinear equation.
@TmwylАй бұрын
Because we have 10 fingers! 😂
@francoismusic_2 ай бұрын
Can I send you a problem?
@adityamodi4965Ай бұрын
Why i always want to take log😂
@ViReel9436Ай бұрын
Shouldn't a and b from the LHS and RHS be same?
@tunneloflightАй бұрын
if you apply significant digits - the answers are the same
@RealReen2 ай бұрын
Kinda boring, but you can solve this almost instantly using log(a^b)=b*log(a)
@sauten2565Ай бұрын
Yeah that’s what I was taught but I guess the way he does it can be understood better by most people
@RealReenАй бұрын
@@sauten2565 true and it also demonstrates far more, useful rules.
@sauten2565Ай бұрын
@@RealReen fax, how far have you gone in maths education, like A levels or further?
@RealReenАй бұрын
@@sauten2565 I'm not sure how it applies to your levels, but danish A-level, and I will be having a lot of maths a uni soon.
@ananasanimator60492 ай бұрын
Решил по формуле Пика за 0,000000002 секунды
@ilbwry2 ай бұрын
pls do more about shapes and derivation i had a question asking what is the biggest [ pyramid ] i can fit inside a cylinder pls help me solving something like this i love ur vidsss💓💞😭
@Latif1287Ай бұрын
I solved it in another way and i found the same result as yours, i am more happy to send it to you if you want to see how
@NaveenThiagarajan2 ай бұрын
Approximately 2, right?
@purnashreechatterjee5691Ай бұрын
I got it right somehow 💀
@irmabecx47582 ай бұрын
iIs the reason for that really that we have ten fingers??
@sp_ahmed8997Ай бұрын
why didn't you just ln the both sides from the first ? it would've been much easier.
@englishsong83992 ай бұрын
Is nobody going to say how easily it could have been solved by using log
@barhas0019Ай бұрын
could you also just do x-1(log 40)=2x+1(log 2) and solve that way?
@Abhi-lz6zoАй бұрын
actually It's much easier that way
@Abhi-lz6zoАй бұрын
Log 40 could be written ans log 4+log10.The only thing is we should know the value of log4 and log2.
@peace0173Ай бұрын
Without using log i some how by unitary method only i got two values of x which are 1 and 4 and this not possible and my method was also not wrong.
@ngneerin2 ай бұрын
It's log more exciting
@Fuzierka2 ай бұрын
in the USSR, children solved such examples in nurseries
@samir2zk1352 ай бұрын
IMO childrens thinking capabilities way more powerful. Age won't matter, IG time does.
@allnickla2 ай бұрын
notegud
@vasukbb28 күн бұрын
man I'm 14 my head hurt
@dow_wob2 ай бұрын
so simple you just know about log 5on2 =2.3 and done and solve it but you can do it simple you should change this log to log5 /log2 => 0.7/0.3 =2.3 (rounded ) and you dont wana calculator or somthing this question was standard for student
@smallgamer7881Ай бұрын
just introduce logs to both sides in the beginning 40^x-1=2^2x+1 log 40^x-1= log 2^2x+1 power law of logs, the power of the log can become the coefficient of the log (x-1) log 40 = (2x+1) log 2 x log40 - log40 = 2x log2 + log2 move the x terms to the left, and the log40 to the right x log40 - 2x log2 = log 2 + log 40 factorise x from the right x(log 40 -2log2) = log2 + log40 x= (log2 + log40) / (log40 -2log2) = 1.903089987
@kirondey6117Ай бұрын
😂
@danteeightsix90692 ай бұрын
Can you give me an example of how this is useful outside of math?
@satyadas47512 ай бұрын
problem solving is a very important transferable skill. Being good at solving any math problem means your likely a good problem solver in any setting. Yes, you won't need to solve this specific equation or anything like this in a practical setting, but it trains your brain to think outside the box
@frankstrawnation2 ай бұрын
@@satyadas4751Your comment looks important, let's put a box around it.
@stephenbeck72222 ай бұрын
It’s an exponential function. You can google the purpose and application of those. This is a problem solving channel, not an application and vague question answering channel.
@jan_Masilijun2 ай бұрын
it's exciting
@y00t00b3r2 ай бұрын
that's like asking how is breathing useful outside of respiration.
@mustfarАй бұрын
I got 1.8 😢
@Voiceistic-kl3kiАй бұрын
I'm in 10th class from imdia and solved it very easily
@maincoastersАй бұрын
i’m in 6th from the usa and solved it really easily
@haianhngo1132 ай бұрын
that too easy with 16 years old vietnamese people =))
@dijendrakalita75022 ай бұрын
i got x = 1 + 3log2
@Abhi-lz6zoАй бұрын
Log 2 equals 0.30 and 3 times log2 is 0.90 adding one to it will result in 1.90....the answer is same
@chitreshbhati98822 ай бұрын
why don't you apply LOGARITHM on both sides
@lt.turtle3268Ай бұрын
(Ln80)/(Ln10) gang
@karlkarlson35022 ай бұрын
*IMAGINE HOW MUCH NERD GIRL POON THIS GUY GETS*
@nonsoottih7405Ай бұрын
Anyone else found this hella easy?
@CleanYourSkullDailyАй бұрын
… no clue how I got x = 1
@user098322 ай бұрын
Take log in the first step; (x-1)(2log 2 + log 10) = (2x+1) log 2 => 2x log 2 - 2log 2 + x -1 = 2x log 2 + log 2 => x - 1 = 3(log 2) => x - 1 = 3(0.30103) => x = 1.90309
@samir2zk1352 ай бұрын
That's more what I was thinking lol, how they show us in school. xd
@Eric-cz1erАй бұрын
From 1st sec, i striaght knows that just using ln() then find the x. Just that simple. No need to be simplify🤔 why need sinplify as we can just using ln() loll
@martinb.39972 ай бұрын
How tf did I get ln40/2ln2
@martinb.39972 ай бұрын
Now I got ln40/ln2 how tf am I gonna get through university man
@martinb.39972 ай бұрын
Well now I got the answer but in negative, I guess I'll leave the logarithmic method for a while now